Hacker Newsnew | past | comments | ask | show | jobs | submitlogin

I would claim in a completely informal way that the optimal degree of utilization is ln(2)=0.693, around 70%.

This stems from the optimal load of self-balancing trees.

A little bit of slack is always useful to deal with the unforeseen.

And even a lot of slack is useful (though not always as it is costly) as it enables to do things that a dedicated resource cannot do.

On the other hand, no slack at all (so running at above 70%) makes a system inflexible and unresilient.

I would argue for this in any circumstance, be it military, be it public transit, be it funding, be it allocation of resources for a particular task.



Where e^-X and 1-e^-X intersect is 0.69. Mumbo? perhaps. Jumbo? perhaps not.


I would put it at

  1 - e^(-1) ~= 0.6321
As e^x is a commonly occurring curve and at that point its derivative goes below 1, meaning from that point on it's diminishing returns.


I was thinking how this string of thought could connect to our daily lives. As a family with a toddler, if we fill up too much of our schedule/time in a day, a perturbation to the schedule can break everything. If instead we fill up 63-70% of the schedule and build in Flex Time, we're good!




Guidelines | FAQ | Lists | API | Security | Legal | Apply to YC | Contact

Search: